46657728 has 224 divisors, whose sum is σ = 154757120. Its totient is φ = 13685760.

The previous prime is 46657727. The next prime is 46657729. The reversal of 46657728 is 82775664.

It is an interprime number because it is at equal distance from previous prime (46657727) and next prime (46657729).

It is not an unprimeable number, because it can be changed into a prime (46657727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696351 + ... + 696417.

It is an arithmetic number, because the mean of its divisors is an integer number (690880).

Almost surely, 2^46657728 is an apocalyptic number.

46657728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46657728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77378560).

46657728 is an abundant number, since it is smaller than the sum of its proper divisors (108099392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46657728 is a wasteful number, since it uses less digits than its factorization.

46657728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 46657728 is about 6830.6462358989. The cubic root of 46657728 is about 360.0044443896.

The spelling of 46657728 in words is "forty-six million, six hundred fifty-seven thousand, seven hundred twenty-eight".